444624610545121 has 2 divisors, whose sum is σ = 444624610545122. Its totient is φ = 444624610545120.

The previous prime is 444624610545079. The next prime is 444624610545127. The reversal of 444624610545121 is 121545016426444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443955013657600 + 669596887521 = 21070240^2 + 818289^2 .

It is a cyclic number.

It is not a de Polignac number, because 444624610545121 - 2³¹ = 444622463061473 is a prime.

It is not a weakly prime, because it can be changed into another prime (444624610545127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222312305272560 + 222312305272561.

It is an arithmetic number, because the mean of its divisors is an integer number (222312305272561).

Almost surely, 2^{444624610545121} is an apocalyptic number.

It is an amenable number.

444624610545121 is a deficient number, since it is larger than the sum of its proper divisors (1).

444624610545121 is an equidigital number, since it uses as much as digits as its factorization.

444624610545121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3686400, while the sum is 49.

The spelling of 444624610545121 in words is "four hundred forty-four trillion, six hundred twenty-four billion, six hundred ten million, five hundred forty-five thousand, one hundred twenty-one".